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Finding the Fourth Proportional to 492.32, 679.57 and 335.72

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Solution

The fourth proportional to 492.32, 679.57 and 335.72 is: 463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.32 : 679.57 = 335.72 : x
  2. Step 2: Convert to fraction form
    492.32/679.57 = 335.72/x
  3. Step 3: Cross multiply
    492.32x = 679.57 × 335.72
  4. Step 4: Simplify right side
    492.32x = 228,146.10
  5. Step 5: Solve for x
    x = 228,146.10/492.32
  6. Step 6: Final answer
    x = 463.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.